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Semigroup properties of factors in the polar decomposition or the operator De-Moivre formula
Author(s):
Ximena
Catepillán;
Waclaw
Szymanski
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3521-3526.
MSC (1991):
Primary 47B20, 47D03
MathSciNet review:
1618713
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Abstract:
We give necessary and sufficient conditions under which the factors in the polar decomposition of a semigroup homomorphism are themselves semigroup homomorphisms.
References:
- 1.
- M. Embry, A generalization of the Halmos-Bram criterion for subnormality, Acta. Math. (Szeged) 35 (1973), 61-64. MR 48:6994
- 2.
- -, The partially isometric factor of a semigroup, Indiana Univ. Math. Journal 32 (1983), 893-901. MR 86h:47059
- 3.
- A. Lubin, Weighted shifts and commuting normal extensions, J. Austral. Math. Soc. Ser. A 27 (1979), 17-26. MR 80j:47030
- 4.
- B. Morrel and P. Muhly, Centered operators, Studia Mathematica 51 (1974), 251-263. MR 50:8132
- 5.
- W. Szyma\'{n}ski, Dilations and subnormality, Proc. Amer. Math. Soc. 101 (1987), 251-259. MR 88k:47062
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Additional Information:
Ximena
Catepillán
Affiliation:
Department of Mathematics, Millersville University, Millersville, Pennsylvania 17551
Email:
xcatepil@marauder.millersv.edu
Waclaw
Szymanski
Affiliation:
Department of Mathematics, West Chester University, West Chester, Pennsylvania 19383
Email:
wszymans@wcupa.edu
DOI:
10.1090/S0002-9939-98-04952-1
PII:
S 0002-9939(98)04952-1
Received by editor(s):
January 21, 1997
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
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